Define each of the following Statistical Terms and provide hypothetical example for each
- Please define each of the following Statistical Terms and provide hypothetical example for each: hypothesis testing, null and alternative hypothesis, non-directional and directional hypothesis, type I error in testing hypothesis, type II error in testing hypothesis, probability of type I error (ɑ), probability of type II error (ß), power of the test and its significance, the critical value(s) in a test, p value (significance level).
- What is the difference between testing hypothesis on a population and testing hypothesis when comparing two populations? Provide hypothetical examples.
- What are the possible outcomes in testing a hypothesis? What are the determinant factors in deciding the critical value(s) in testing a hypothesis?
- When the z statistic is appropriate to be used in testing a hypothesis? When the t statistic is appropriate to be used in testing a hypothesis? For each case, include the underlying assumptions, and the test statistic, for both testing a hypothesis on the mean of population, and testing hypothesis in comparing the value of the mean in a population with the value of the mean in another population. What is the criterion for rejecting the null hypothesis for both non-directional and directional tests? How do you find the p value in each case? Do not forget to discuss cases that involve proportion(s).
- When the chi squared statistic is used in testing hypothesis? Include underlying assumptions and the test statistic for testing hypothesis on a single population. What is the criterion for rejecting the null hypothesis for both non-directional and directional tests? How do you find the p value in each case?
Please use APA format with peer reviewed references
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